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arXiv · 1410.3540

A generating function approach to counting theorems for square-free polynomials and maximal tori

Jason Fulman
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Abstract

A recent paper of Church, Ellenberg, and Farb uses topology and representation theory of the symmetric group to prove enumerative results about square-free polynomials and F-stable maximal tori of the general linear group over the algebraic closure of F_q. In this note, we use generating functions to give elementary proofs of some of their results, and some extensions.

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Jason Fulman. 2014-10-14. A generating function approach to counting theorems for square-free polynomials and maximal tori. https://arxiv.org/abs/1410.3540

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